CN107276650B - A kind of extensive MIMO mixing precoding efficiency optimization method of multi-user - Google Patents

A kind of extensive MIMO mixing precoding efficiency optimization method of multi-user Download PDF

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CN107276650B
CN107276650B CN201710533484.XA CN201710533484A CN107276650B CN 107276650 B CN107276650 B CN 107276650B CN 201710533484 A CN201710533484 A CN 201710533484A CN 107276650 B CN107276650 B CN 107276650B
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CN107276650A (en
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葛晓虎
孙扬
韩涛
李强
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Huazhong University of Science and Technology
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0456Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0426Power distribution
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0452Multi-user MIMO systems
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0456Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • H04B7/046Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting taking physical layer constraints into account
    • H04B7/0465Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting taking physical layer constraints into account taking power constraints at power amplifier or emission constraints, e.g. constant modulus, into account
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

Abstract

The invention discloses a kind of extensive MIMO mixing precoding efficiency optimization method of multi-user, loose constraint condition, iteration first tries to achieve the theoretical upper limit of base station energy efficiency.Then using the approximation theory upper limit as target design base band pre-coding matrix and radio frequency pre-coding matrix.Specific practice is, in base band, the solution of base band precoding to be converted into the positive semidefinite relaxation problem for the standard that can be solved with interior point method, in radio frequency, the solution of radio frequency precoding is converted into the vectorial approximation problem that can be solved with phase place.Use the method for alternating minimization, the iterative approach theory upper limit.Energy efficiency can be significantly improved by the present invention.

Description

A kind of extensive MIMO mixing precoding efficiency optimization method of multi-user
Technical field
The invention belongs to wireless communication technology field, prelists more particularly, to a kind of extensive MIMO mixing of multi-user Code efficiency optimization method.
Background technology
Multiple-input and multiple-output (Multiple-Input Multiple-Output, MIMO) is one kind in wireless communication system The middle wireless communication technique using more antenna transceiving datas, the information transmitted is formed more height by Space Time Coding and believed by it Breath stream, and launched by more antennas.Extensive MIMO technology increases dual-mode antenna on the basis of conventional MIMO system To dozens or even hundreds of.It is excellent to remain conventional MIMO system as a kind of new wireless communication technique for extensive mimo system While point, roll up antenna amount so that power system capacity greatly increases therewith, determines that extensive mimo system has very Good development prospect.
5G capacity requireds lift 1000 times.To meet capacity requirement, extensive MIMO and millimeter wave become 2 generally acknowledged Key technology.But under extensive MIMO and millimeter wave scene, traditional digital precoding needs substantial amounts of radio frequency link, draws Enter high hardware cost and substantial amounts of energy consumption.In this context, to reduce energy consumption and cost, it is divided into base band precoding and radio frequency The mixing precoding of precoding, can use less radio frequency link, become a very promising technology.At the same time, with Antenna amount to increase, bandwidth expands, and the power for computing functions such as linear process dramatically increases:For microcell base station, The power that the main base band for performing computing function is consumed accounts for more than the 40% of general power, even macro base station, also account for 10% with On.
Therefore, under extensive MIMO scene, the problem that energy efficiency is industry urgent need to resolve how is effectively improved.
The content of the invention
For the disadvantages described above or Improvement requirement of the prior art, object of the present invention is to provide a kind of big rule of multi-user Mould MIMO mixing precoding efficiency optimization methods, thus solve the relatively low skill of energy efficiency under existing extensive MIMO scene Art problem.
To achieve the above object, one side according to the invention, there is provided a kind of extensive MIMO mixing of multi-user is pre- Efficiency optimization method is encoded, is included the following steps:
Efficiency when S1, the extensive MIMO base station unconfined condition of acquisitionAnd byAsk forObtained during maximization without constraint pre-coding matrix Bopt, wherein, B=BRFBBB,Represent NTThe complex matrix of × K,Represent base stations total transmission speed during unconfined condition,When representing unconfined condition Total base station power, BBBRepresent NRFThe base band precoding complex matrix of × K, BRFRepresent NT×NRFRadio frequency precoding complex matrix, and BRF In the amplitude of each element be base-band data stream that 1, K represents base station, NRFRepresent radio frequency link quantity, NTRepresent antenna number Amount, efficiency during unconfined conditionFor the theoretical upper limit of extensive MIMO base station efficiency;
S2, iterative solution obtain base band precoding complex matrix BBBAnd radio frequency precoding complex matrix BRFSo that BRFBBBIt is maximum Change approaches Bopt, so that base station energy efficiency maximizes the approximation theory upper limit
Preferably, step S1 specifically includes following sub-step:
S1.1, initialization i=0, and to B(i)Random assignment, wherein, subscript(i)Represent ith iteration;
S1.2, byObtainBy
ObtainWherein, δjRepresent the interfering signal power that j-th of user receives,Represent that m-th of user can under unconfined condition The speed reached,Represent total base station power during unconfined condition, W represents bandwidth, hjRepresent base station under j-th of user Row channel, bjRepresent the jth row of B, LBSRepresent base station computational efficiency, PCODRepresent the efficiency of channel coding,Represent the side of noise Difference, subscriptHRepresenting conjugation means, α is the efficiency of power amplifier,Represent NT×NTUnit matrix;
S1.3, byObtain taking in different iteration step length μ Temp_B during value(i+1)(μ), wherein, k=1...K, μ ∈ [0,1], temp_bkArranged for the kth of temp_B, temp_B NT×K Complex matrix, subscript(μ)Represent that iteration step length takes μ, subscript-1Expression is inverted;
S1.4, for different μ values when temp_B(i+1)(μ), choose the temp_B for making base station energy efficiency maximum(i+1)(μ), and So that B(i+1)=temp_B(i+1)(μ)
S1.5, make i=i+1, if | | B(i+1)-B(i)||F>=the first predetermined threshold value, then redirect and perform step S1.2, otherwise CausedDuring maximization without constraint pre-coding matrix Bopt=B(i+1)
Preferably, step S2 specifically includes following sub-step:
S2.1, initialization i=0, and random initializtion BRF (i)
S2.2, according to BRF (i)B is calculatedBB (i+1)
S2.3, by phase (BRF(l,j))=phase (Bopt (l,:)BBB(j,:) H),1≤l≤NT,Calculate To BRF (i+1), wherein, phase (x) represents to take x phase, X(l,j)The element that l rows jth arranges in representing matrix X, X(l,:)Show square The all elements of l rows in battle array X,Expression rounds up;
If S2.4, | | Bopt-BRF (i+1)BBB (i+1)||F≤ the second predetermined threshold value, then make Otherwise, i=i+1, and redirect and perform step S2.2.
Preferably, step S2.2 specifically includes following sub-step:
It is S2.2.1, rightWith BoptVectorization is carried out respectively obtains xcWithObtain IKWithKronecker product ζc, By vector xcReal part, imaginary part and variable t form vector x, by vectorReal part and imaginary part form vector bopt, by vector ζcReal part and imaginary part form vector ζ, wherein, t2=1;
S2.2.2, solutionObtained matrix X can be accessedIts In, X=xxH,N=2KNRF+ 1, PmaxRepresent most Big transmission power limitation, Tr () are the mark for seeking matrix.
In general, the method for the present invention can obtain following beneficial effect compared with prior art:By first relaxing Constraints, iteration try to achieve the theoretical upper limit of base station energy efficiency.Then prelisted using the maximum approximation theory upper limit as target design base band Code matrix and radio frequency pre-coding matrix.Use the method for alternating minimization, the iterative approach theory upper limit.It can not only significantly improve Energy efficiency, can also reduce cost efficiency.
Brief description of the drawings
Fig. 1 is a kind of extensive MIMO mixing pre-coding system figures disclosed by the embodiments of the present invention;
Fig. 2 is a kind of stream of the extensive MIMO mixing precoding efficiency optimization method of multi-user disclosed by the embodiments of the present invention Journey schematic diagram;
Fig. 3 is a kind of simulation result figure disclosed by the embodiments of the present invention.
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, with reference to the accompanying drawings and embodiments, it is right The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and It is not used in the restriction present invention.As long as in addition, technical characteristic involved in each embodiment of invention described below Not forming conflict each other can be mutually combined.
It is as shown in Figure 1 a kind of extensive MIMO mixing pre-coding system figures disclosed by the embodiments of the present invention, considers single small The extensive mimo system of area multi-user.There are K any active ues, each user is single antenna.There is K base-band data stream in base station Flow into, equipped with NRFRoot radio frequency link, every radio frequency link link a sub-array antenna.Base station shares NTRoot antenna, so Have on each sub-array antennaRoot antenna.In the present invention, we only consider the downlink of base station, and prelist in radio frequency Code is using the submatrix array structure with prospects for commercial application.
Base stations total transmission speed RsumIt can be expressed as:
Wherein, W is bandwidth,It is the variance of noise.BBBIt is NRFThe base band precoding complex matrix of × K, BRFIt is NT×NRF's Radio frequency precoding complex matrix.bBB,kRepresent BBBKth row, hkRepresent the channel of k-th of user.SubscriptHRepresent conjugate transposition.
Total base station power PtotalIt can be expressed as:
Wherein, α be power amplifier efficiency, PshifterRepresent the power of a radio-frequency phase shifter, PRF_per_chainIt is one The power of a radio frequency link, U=Wc·TcRepresent coherent block, Wc,TcRepresent that coherence bandwidth and coherence time, τ are to make pilot tone respectively The factor that can be orthogonal, LBSBase station computational efficiency, PCODFor the efficiency of channel coding, PfixRepresent base station constant power.||||FTable Show F norms.
The maximized optimization problem of base station energy efficiency can be expressed as:
Wherein, ηEE(BRF,BBB) representing base station energy efficiency, independent variable has BRF,BBBRepresent the complex matrix of X × Y.S.t. table Show constraints.Represent withFor the diagonal matrix of diagonal sub-block.PmaxTable Show that maximum transmission power limits, miForMultiple column vector, miIn each element magnitude be 1.
It is illustrated in figure 2 a kind of extensive MIMO mixing precoding efficiency optimization side of multi-user disclosed by the embodiments of the present invention The flow diagram of method, comprises the following steps:
Efficiency when S1, the extensive MIMO base station unconfined condition of acquisitionAnd byAsk forObtained during maximization without constraint pre-coding matrix Bopt, wherein, B=BRFBBB,Represent NTThe complex matrix of × K,Represent base stations total transmission speed during unconfined condition,When representing unconfined condition Total base station power, BBBRepresent NRFThe base band precoding complex matrix of × K, BRFRepresent NT×NRFRadio frequency precoding complex matrix, BRFIn The amplitude of each element is the base-band data stream that 1, K represents base station, NRFRepresent radio frequency link quantity, NTRepresent antenna amount. Because former optimization problem is the optimization problem of Prescribed Properties, after loose constraint condition, domain expands, codomain, i.e. efficiency Value range expansion or constant, so efficiency during unconfined conditionFor extensive MIMO base station efficiency in theory Limit;
Wherein,
Wherein, step S1 specifically includes following sub-step:
S1.1, initialization i=0, and to B(i)Random assignment, wherein, subscript(i)Represent ith iteration;
S1.2, byObtain
By
ObtainWherein,
W represents bandwidth, hjRepresent base station to the down channel of j-th of user, bjRepresent the jth row of B, PshifterRepresent one The power of a radio-frequency phase shifter, PRF_per_chainRepresent the power of a radio frequency link, U=Wc·TcRepresent coherent block, Wc,TcPoint Not Biao Shi coherence bandwidth and coherence time, τ is the factor for enabling pilot tone orthogonal, LBSRepresent base station computational efficiency, PCODRepresent letter The efficiency of road coding, PfixRepresent base station constant power, | | | |FRepresent F norms,Represent the variance of noise, subscript H is represented altogether Yoke device, α are the efficiency of power amplifier,Represent NT×NTUnit matrix, symbolic indication scalar product,Indicate without The speed that m-th of user can reach under constraints;
S1.3, byObtain taking in different iteration step length μ Temp_B during value(i+1)(μ), wherein, k=1...K, μ ∈ [0,1], temp_bkArranged for the kth of temp_B, temp_B NT×K Complex matrix, subscript(μ)Represent that iteration step length takes μ, subscript-1Expression is inverted;
Wherein, the specific implementation of step S1.3 is:
Made in first layer circulationK=1 is made in second layer circulation:K,Wherein, μ represents iteration step length, Represent step-length value interval, x(μ)Represent the variable x when iteration step length takes μ, subscript-1Expression is inverted.
S1.4, for different μ values when temp_B(i+1)(μ), choose the temp_B for making base station energy efficiency maximum(i+1)(μ), and So that B(i+1)=temp_B(i+1)(μ)
S1.5, make i=i+1, if | | B(i+1)-B(i)||F>=the first predetermined threshold value, then redirect and perform step S1.2, otherwise CausedDuring maximization without constraint pre-coding matrix Bopt=B(i+1)
Wherein, the first predetermined threshold value can be determined according to the actual requirements.
S2, solve base band precoding complex matrix BBBAnd radio frequency precoding complex matrix BRFSo that BRFBBBApproach Bopt, so that So that the base station energy efficiency approximation theory upper limit
Wherein, step S2 specifically includes following sub-step:
S2.1, initialization i=0, and random initializtion BRF (i)
S2.2, according to BRF (i)B is calculatedBB (i+1)
S2.3, by phase (BRF(l,j))=phase (Bopt (l,:)BBB(j,:) H),1≤l≤NT,Calculate To BRF (i+1), wherein, phase (x) represents to take x phase, X(l,j)The element that l rows jth arranges in representing matrix X, X(l,:)Show square The all elements of l rows in battle array X,Expression rounds up;
If S2.4, | | Bopt-BRF (i+1)BBB (i+1)||F≤ the second predetermined threshold value, then make Otherwise, i=i+1, and redirect and perform step S2.2.
Wherein, the second predetermined threshold value can be determined according to the actual requirements.
Wherein, step S2.2 specifically includes following sub-step:
It is S2.2.1, rightWith BoptVectorization is carried out respectively obtains xcWithObtain IKWithKronecker product ζc, by vector xcReal part, imaginary part and variable t form vector x, by vectorReal part and imaginary part form vector bopt, to Measure ζcReal part and imaginary part form vector ζ, wherein, t2=1;
Wherein,
Wherein, vec (X) is represented to matrix X vectorizations.Represent square Battle array Kronecker product.Real () expressions take real part, and imag () represents to take imaginary part.
S2.2.2, byObtained matrix X is i.e. availableWherein, X =xxH,N=2KNRF+ 1,PmaxRepresent maximum hair Power limit is penetrated, Tr () is the mark for seeking matrix.
In general, compared with existing mixing precoding algorithms, the present invention can obtain following gain:Energy efficiency highest 189.72% can be lifted.Cost efficiency highest can lift 9.13 times.
Fig. 3 is the analogous diagram of energy efficiency radio frequency port number change.Antenna number is set as 200 in figure, number of users setting For 5.From analogous diagram as can be seen that the algorithm proposed by the present invention based on submatrix array structure exists than the algorithm under former full connection structure It is more excellent in energy efficiency.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to The limitation present invention, all any modification, equivalent and improvement made within the spirit and principles of the invention etc., should all include Within protection scope of the present invention.

Claims (1)

1. a kind of extensive MIMO mixing precoding efficiency optimization method of multi-user, it is characterised in that include the following steps:
Efficiency when S1, the extensive MIMO base station unconfined condition of acquisitionAnd byAsk TakeObtained during maximization without constraint pre-coding matrix Bopt, wherein, B=BRFBBB,Represent NTThe complex matrix of × K,Represent base stations total transmission speed during unconfined condition,Represent total base station power during unconfined condition, BBBRepresent NRF×K Base band precoding complex matrix, BRFRepresent NT×NRFRadio frequency precoding complex matrix, and BRFIn the amplitude of each element be 1, K represents the number of the base-band data stream of base station, NRFRepresent radio frequency link quantity, NTRepresent antenna amount, during unconfined condition EfficiencyFor the theoretical upper limit of extensive MIMO base station efficiency;
S2, iterative solution obtain base band precoding complex matrix BBBAnd radio frequency precoding complex matrix BRFSo that BRFBBBMaximization is forced Nearly Bopt, so that base station energy efficiency maximizes the approximation theory upper limitWherein, step S1 specifically includes following sub-step:
S1.1, initialization i=0, and to B(i)Random assignment, wherein, subscript(i)Represent ith iteration;
S1.2, byObtainBy
ObtainWherein, δjRepresent the interfering signal power that j-th of user receives,Represent m-th of user under unconfined condition The speed that can reach,Represent total base station power during unconfined condition, W represents bandwidth, hjRepresent base station to j-th of user Down channel, bjRepresent the jth row of B, LBSRepresent base station computational efficiency, PCODRepresent the efficiency of channel coding,Expression is made an uproar The variance of sound, subscript H represent conjugate transposition, and α is the efficiency of power amplifier,Represent NT×NTUnit matrix;
S1.3, byObtain in different iteration step length μ values Temp_B(i+1)(μ), wherein, k=1...K, μ ∈ [0,1], temp_bkArranged for the kth of temp_B, temp_B NT× K's answers Matrix, subscript(μ)Represent that iteration step length takes μ, subscript-1Expression is inverted;
S1.4, for different μ values when temp_B(i+1)(μ), choose the temp_B for making base station energy efficiency maximum(i+1)(μ), and cause B(i+1)=temp_B(i+1)(μ)
S1.5, make i=i+1, if | | B(i+1)-B(i)||F>=the first predetermined threshold value, then redirect and perform step S1.2,
Otherwise causedDuring maximization without constraint pre-coding matrix Bopt=B(i+1)
Wherein, step S2 specifically includes following sub-step:
S2.1, initialization i=0, and random initializtion BRF (i)
S2.2, according to BRF (i)B is calculatedBB (i+1)
S2.3, byB is calculatedRF (i+1), wherein, phase (x) represents to take x phase, X(l,j)The element that l rows jth arranges in representing matrix X, X(l,:)Show in matrix X The all elements of l rows,Expression rounds up;
If S2.4, | | Bopt-BRF (i+1)BBB (i+1)||F≤ the second predetermined threshold value, then make Otherwise, i=i+1, and redirect and perform step S2.2;
Wherein, step S2.2 specifically includes following sub-step:
It is S2.2.1, rightWith BoptVectorization is carried out respectively obtains xcWithObtain IKWithKronecker product ζc, to Measure xcReal part, imaginary part and variable t form vector x, by vectorReal part and imaginary part form vector bopt, by vectorial ζc's Real part forms vector ζ with imaginary part, wherein, t2=1, IKRepresent the unit matrix of K × K;
S2.2.2, solutionObtained matrix X can be accessedWherein, X= xxH,N=2KNRF+ 1,PmaxRepresent emission maximum Power limit, Tr () are the mark for seeking matrix.
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